Sound Software estimates that it will sell LaTeX: NN units of a program after spending LaTeX: aa thousands of dollars on advertising, where LaTeX: N\left(a\right)=-a^2+300a+6N ( a ) = − a 2 + 300 a + 6 when LaTeX: 0\le a\le3000 ≤ a ≤ 300. What is the maximum number of units that can be sold and how much need to be spent on advertising in order to achieve this sales goal?

As a result of a thorough physical inventory, waterway company determined that it had inventory worth $320200 at december 31, 2020. this count did not take into consideration the following facts: walker consignment currently has goods worth $47400 on its sales floor that belong to waterway but are being sold on consignment by walker. the selling price of these goods is $75900. waterway purchased $21900 of goods that were shipped on december 27, fob destination, that will be received by waterway on january 3. determine the correct amount of inventory that waterway should report.